Steady Shock Tracking, Newton’s Method, and the Supersonic Blunt Body Problem

DOI10.1137/0903009zbMath0486.76085OpenAlexW2068441875MaRDI QIDQ3947364

Harland M. Glaz, L. B. Hackerman, Andrew B. Wardlaw, A. B. Stephens, Gregory R. Shubin

Publication date: 1982

Published in: SIAM Journal on Scientific and Statistical Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0903009

zbMATH Keywords

nonlinearcontinuation methodsdamped Newton's methodaxisymmetric supersonic blunt bodysteady shock trackingtime-dependent transformation

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Shocks and singularities for hyperbolic equations (35L67) Shock waves and blast waves in fluid mechanics (76L05) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Hyperbolic conservation laws (35L65) Finite difference methods for boundary value problems involving PDEs (65N06) Supersonic flows (76J20) Basic methods in fluid mechanics (76M99) Partial differential equations of mixed type and mixed-type systems of partial differential equations (35M99)

Related Items (10)

Implicit shock tracking for unsteady flows by the method of lines ⋮ A robust, high-order implicit shock tracking method for simulation of complex, high-speed flows ⋮ Fast sweeping methods for hyperbolic systems of conservation laws at steady state ⋮ A space-time high-order implicit shock tracking method for shock-dominated unsteady flows ⋮ Convergence acceleration for high-order shock-fitting methods in hypersonic flow applications with efficient implicit time-stepping schemes ⋮ An optimization-based approach for high-order accurate discretization of conservation laws with discontinuous solutions ⋮ Fast sweeping methods for hyperbolic systems of conservation laws at steady state. II ⋮ Implicit shock tracking using an optimization-based high-order discontinuous Galerkin method ⋮ Progress in computational physics ⋮ High-order implicit shock tracking (HOIST)

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